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Finding the Third Proportional to 172,749 and 373,795

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Solution

The third proportional to 172,749 and 373,795 is: 808,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,749 : 373,795 = 373,795 : x
  2. Step 2: Convert to fraction form
    172,749/373,795 = 373,795/x
  3. Step 3: Cross multiply
    172,749x = 373,795 × 373,795
  4. Step 4: Simplify right side
    172,749x = 139,722,702,025
  5. Step 5: Solve for x
    x = 139,722,702,025/172,749
  6. Step 6: Final answer
    x = 808,819.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.